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Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.
1 answer:
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1.
A graph of linear function is a straight line.
Linear function in a slope-intercept form: y = mx + b
Answer: Equation 3: y = 12x + 17.
2.
x|-1 | 0 | 1 | ? |
y| 4 | 7 |10| ? |
a slope:
We choose:
subtitute:
a slope-intercept form:
subtitute:
subtitute x = 2 to the equation (*):
Answer: (2, 13)
3.
(-2; 7), (-5; 4)
the slope:
check other:
The conclusion: It's a linear function
Answer: It is a linear function because there is a constant rate of change in both the input and output values.
4.
y = 3x + 5 /look at the picture/
Answer: It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.
check:
A graph of linear function is a straight line.
Linear function in a slope-intercept form: y = mx + b
Answer: Equation 3: y = 12x + 17.
2.
x|-1 | 0 | 1 | ? |
y| 4 | 7 |10| ? |
a slope:
We choose:
subtitute:
a slope-intercept form:
subtitute:
subtitute x = 2 to the equation (*):
Answer: (2, 13)
3.
(-2; 7), (-5; 4)
the slope:
check other:
The conclusion: It's a linear function
Answer: It is a linear function because there is a constant rate of change in both the input and output values.
4.
y = 3x + 5 /look at the picture/
Answer: It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.
check:
Multiply both numerator and denominator with 8+5i. Then you get 